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2120018016 = 25357738273
BaseRepresentation
bin111111001011100…
…1110100001100000
312110202012001222210
41332113032201200
513320211034031
6550211202120
7103351566354
oct17627164140
95422161883
102120018016
11998770a06
124b1ba6340
1327a2a953c
141617bb464
15c61bd746
hex7e5ce860

2120018016 has 48 divisors (see below), whose sum is σ = 5574837744. Its totient is φ = 705429504.

The previous prime is 2120018011. The next prime is 2120018027. The reversal of 2120018016 is 6108100212.

2120018016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2120017983 and 2120018001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120018011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36256 + ... + 74528.

It is an arithmetic number, because the mean of its divisors is an integer number (116142453).

Almost surely, 22120018016 is an apocalyptic number.

It is an amenable number.

2120018016 is an abundant number, since it is smaller than the sum of its proper divisors (3454819728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120018016 is a wasteful number, since it uses less digits than its factorization.

2120018016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38863 (or 38855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 2120018016 is about 46043.6533737278. The cubic root of 2120018016 is about 1284.6352966839.

Adding to 2120018016 its reverse (6108100212), we get a palindrome (8228118228).

The spelling of 2120018016 in words is "two billion, one hundred twenty million, eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 577 1154 1731 2308 3462 4616 6924 9232 13848 18464 27696 38273 55392 76546 114819 153092 229638 306184 459276 612368 918552 1224736 1837104 3674208 22083521 44167042 66250563 88334084 132501126 176668168 265002252 353336336 530004504 706672672 1060009008 2120018016